GCF of 9324/704, 7189/1388
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9324/704, 7189/1388 i.e 7/244288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9324/704, 7189/1388.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9324/704,7189/1388?
Given fractions are 9324/704,7189/1388
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 9324/704,7189/1388, numerators are 9324,7189
Denominators are 704,1388
The GCF of 9324,7189 is 7 .
LCM of 704,1388 is 244288.
The greatest common factor of 9324/704,7189/1388 = [GCF of 9324,7189]/[LCM of 704,1388]= 7/244288
Therefore, the GCF of 9324/704,7189/1388 is 7/244288.
To find the highest common factor of 9324,7189, we have to find the factors of both numbers and list the highest common factor.
The factors of 9324 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 37, 42, 63, 74, 84, 111, 126, 148, 222, 252, 259, 333, 444, 518, 666, 777, 1036, 1332, 1554, 2331, 3108, 4662, 9324
The factors of 7189 are 1, 7, 13, 79, 91, 553, 1027, 7189
The HCF of 9324,7189 is 7.
Lets's calculate GCF of 9324,7189
| 7 | 9324, 7189 |
| 1332, 1027 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9324,7189 By Matching Biggest Common Factor Method
Now, list down the factors of 9324
:1,2,3,4,6,7,9,12,14,18,21,28,36,37,42,63,74,84,111,126,148,222,252,259,333,444,518,666,777,1036,1332,1554,2331,3108,4662,9324
Now, list down the factors of 7189
:1,7,13,79,91,553,1027,7189
Greatest Common Factor
We found the factors 9324,7189 . The biggest common factor number is the GCF number.
So the greatest common factor 9324,7189 is 7.
Lets's calculate LCM of 704,1388
| 2 | 704, 1388 |
| 2 | 352, 694 |
| 176, 347 |
∴ So the LCM of the given numbers is 2 x 2 x 176 x 347 = 244288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/244288
Therefore, the GCF of Fractions 9324/704,7189/1388 is 7/244288
Least Common Multiple of 704,1388 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 704,1388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,1388) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(704,1388) x common factors =4 x 1 = 4
LCM(704,1388) = ( 704 × 1388 ) / 4
LCM(704,1388) = 977152 / 4
LCM(704,1388) = 244288
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FAQs on GCF of Fractions of 9324/704, 7189/1388
1. What is the HCF of 9324,7189?
The HCF of 9324,7189 is 7
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 9324/704, 7189/1388?
Answer: GCF of Numerators as per given numbers 9324/704, 7189/1388 is
GCF of Numerators i.e. for 9324,7189 is 7
LCM of denominators i.e. for 704,1388 is 244288.
Thus, GCF of Fractions is 7/244288.Finally, GCF of Fractions for 9324/704, 7189/1388 is 7/244288.